An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. the area of the trapezoid is what?

33 unit^2.

Step-by-step explanation:

Area of a trapezoid = h(a + b)/ 2   where h = its height and a and b are the lengths of its parallel sides.

If we draw a line perpendicular to the longest base from the endpoint of the smallest base we get a right  triangle  with 2 angles of 45 degree ,  and because it is an isosceles trapezoid the  base of the triangle =  (14 - 8)/2 = 3 units. Since it is a 45-45-90 triangle the height is also 3 units.

So the area = 3 (14 + 8) / 2 =  33 unit^2.

i dont know

step-by-step explanation:

just needed some points but try socratic